{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Comparison between the external depolarization tensor of an prolate ellipsoid and a sphere"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This code presents an empirical validation of equation A4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Vanderlei\\Documents\\fatiando\\fatiando\\vis\\mpl.py:70: UserWarning: This module will be removed in v0.6. We recommend the use of matplotlib.pyplot module directly. Some of the fatiando specific functions will remain.\n",
      "  \"specific functions will remain.\")\n"
     ]
    }
   ],
   "source": [
    "from __future__ import division\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import tri\n",
    "from mesher import ProlateEllipsoid\n",
    "import prolate_ellipsoid\n",
    "\n",
    "from fatiando.gridder import scatter\n",
    "\n",
    "from fatiando.mesher import Sphere\n",
    "from fatiando.gravmag import sphere"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def compare(x, y, z1, z2):\n",
    "    triang = tri.Triangulation(x, y)\n",
    "    \n",
    "    ranges = np.max(np.abs([z1.min(), z1.max(),\n",
    "                            z2.min(), z2.max()]))\n",
    "\n",
    "    plt.close('all')\n",
    "    plt.figure(figsize=(12, 3))\n",
    "    plt.axis('equal')\n",
    "\n",
    "    plt.subplot(1, 3, 1)\n",
    "    plt.tricontourf(triang, z1, 20,\n",
    "                    vmin=-ranges, vmax=ranges, cmap=plt.get_cmap('RdBu_r'))\n",
    "    plt.colorbar()\n",
    "    plt.tick_params(axis='x', labelbottom='off')\n",
    "    plt.tick_params(axis='y', labelleft='off')\n",
    "\n",
    "    plt.subplot(1, 3, 2)\n",
    "    plt.tricontourf(triang, z2, 20,\n",
    "                    vmin=-ranges, vmax=ranges, cmap=plt.get_cmap('RdBu_r'))\n",
    "    plt.colorbar()\n",
    "    plt.tick_params(axis='x', labelbottom='off')\n",
    "    plt.tick_params(axis='y', labelleft='off')\n",
    "\n",
    "    plt.subplot(1, 3, 3)\n",
    "    plt.tricontourf(triang, z1 - z2, 20,\n",
    "                    cmap=plt.get_cmap('RdBu_r'))\n",
    "    plt.colorbar()\n",
    "    plt.tick_params(axis='x', labelbottom='off')\n",
    "    plt.tick_params(axis='y', labelleft='off')\n",
    "\n",
    "    plt.tight_layout()\n",
    "\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "ellipsoid = ProlateEllipsoid(0, 1000, 1000, 500.1, 499.9,\n",
    "                             180*np.random.rand(), 90*np.random.rand(), 90*np.random.rand())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[-0.99009938  0.01742312 -0.13928262]\n",
      " [ 0.11641034  0.65637022 -0.74540376]\n",
      " [ 0.0784337  -0.75423774 -0.65189998]]\n"
     ]
    }
   ],
   "source": [
    "print ellipsoid.transf_matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "area = [-3000, 3000, -2000, 4000]\n",
    "x, y, z = scatter(area, 300, z=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "x1, x2, x3 = prolate_ellipsoid.x1x2x3(x, y, z, ellipsoid)\n",
    "lamb = prolate_ellipsoid._lamb(x1, x2, x3, ellipsoid)\n",
    "denominator = prolate_ellipsoid._dlamb_aux(x1, x2, x3, ellipsoid, lamb)\n",
    "dlamb_dx = prolate_ellipsoid._dlamb(x1, x2, x3, ellipsoid, lamb, denominator, deriv='x')\n",
    "dlamb_dy = prolate_ellipsoid._dlamb(x1, x2, x3, ellipsoid, lamb, denominator, deriv='y')\n",
    "dlamb_dz = prolate_ellipsoid._dlamb(x1, x2, x3, ellipsoid, lamb, denominator, deriv='z')\n",
    "h1 = prolate_ellipsoid._hv(ellipsoid, lamb, v='x')\n",
    "h2 = prolate_ellipsoid._hv(ellipsoid, lamb, v='y')\n",
    "h3 = prolate_ellipsoid._hv(ellipsoid, lamb, v='z')\n",
    "g1 = prolate_ellipsoid._gv(ellipsoid, lamb, v='x')\n",
    "g2 = prolate_ellipsoid._gv(ellipsoid, lamb, v='y')\n",
    "g3 = prolate_ellipsoid._gv(ellipsoid, lamb, v='z')\n",
    "\n",
    "a = ellipsoid.large_axis\n",
    "b = ellipsoid.small_axis\n",
    "volume = 4*np.pi*a*b*b/3\n",
    "cte = -1.5*volume"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# elements of the depolarization tensor without the ellipsoid in the local system\n",
    "nxx_tilde = cte*(dlamb_dx*h1*x1 + g1)\n",
    "nxy_tilde = cte*(dlamb_dx*h2*x2)\n",
    "nxz_tilde = cte*(dlamb_dx*h3*x3)\n",
    "nyy_tilde = cte*(dlamb_dy*h2*x2 + g2)\n",
    "nyz_tilde = cte*(dlamb_dy*h3*x3)\n",
    "nzz_tilde = cte*(dlamb_dz*h3*x3 + g3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# elements of the depolarization tensor without the ellipsoid in the main system\n",
    "n_tilde = np.array([nxx_tilde, nxy_tilde, nxz_tilde,\n",
    "                    nxy_tilde, nyy_tilde, nyz_tilde,\n",
    "                    nxz_tilde, nyz_tilde, nzz_tilde]).T\n",
    "n_tilde = np.reshape(n_tilde, (nxx_tilde.size, 3, 3))\n",
    "\n",
    "nxx = []\n",
    "nxy = []\n",
    "nxz = []\n",
    "nyy = []\n",
    "nyz = []\n",
    "nzz = []\n",
    "\n",
    "for nti in n_tilde:\n",
    "    nxx.append(np.dot(ellipsoid.transf_matrix[0,:], np.dot(nti, ellipsoid.transf_matrix[0,:])))\n",
    "    nxy.append(np.dot(ellipsoid.transf_matrix[0,:], np.dot(nti, ellipsoid.transf_matrix[1,:])))\n",
    "    nxz.append(np.dot(ellipsoid.transf_matrix[0,:], np.dot(nti, ellipsoid.transf_matrix[2,:])))\n",
    "    nyy.append(np.dot(ellipsoid.transf_matrix[1,:], np.dot(nti, ellipsoid.transf_matrix[1,:])))\n",
    "    nyz.append(np.dot(ellipsoid.transf_matrix[1,:], np.dot(nti, ellipsoid.transf_matrix[2,:])))\n",
    "    nzz.append(np.dot(ellipsoid.transf_matrix[2,:], np.dot(nti, ellipsoid.transf_matrix[2,:])))\n",
    "\n",
    "nxx = np.array(nxx)\n",
    "nxy = np.array(nxy)\n",
    "nxz = np.array(nxz)\n",
    "nyy = np.array(nyy)\n",
    "nyz = np.array(nyz)\n",
    "nzz = np.array(nzz)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "sphere_fat = Sphere(ellipsoid.x, ellipsoid.y, ellipsoid.z,\n",
    "                    0.5*(ellipsoid.large_axis + ellipsoid.small_axis))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "kxx = sphere.kernelxx(x, y, z, sphere_fat)\n",
    "kxy = sphere.kernelxy(x, y, z, sphere_fat)\n",
    "kxz = sphere.kernelxz(x, y, z, sphere_fat)\n",
    "kyy = sphere.kernelyy(x, y, z, sphere_fat)\n",
    "kyz = sphere.kernelyz(x, y, z, sphere_fat)\n",
    "kzz = sphere.kernelzz(x, y, z, sphere_fat)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Program Files\\Anaconda2\\lib\\site-packages\\matplotlib\\tri\\triangulation.py:110: FutureWarning: comparison to `None` will result in an elementwise object comparison in the future.\n",
      "  self._neighbors)\n"
     ]
    },
    {
     "data": {
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Gh4jIYkpeShucfdUtTVdBKuRzYsfnumVxz47ZziYrRdLItIbTpk2bOGrF8kWPvXjjhVy0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\n8qnqRFMZo5vu3DUbu3B4XNIpHHk0vJZTmDQ6dlm2TRvikk0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PkkwSfu6g+00nEf888GEz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x3f66128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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wsv59PJ3e1LubgZf2N7MoXCdLmHX2ZNedVETZtHNfKQlG0dImFk1OKKJU1bOt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      "text/plain": [
       "<matplotlib.figure.Figure at 0x78716d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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E3ODuXwg942OpfhNt9P2bSpHJRdmTirA4vdndGNmUdXKxcuPIADZncrnnTivJ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\nzMzMzMzMGuL/A7sniCq+Faq/AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x19112080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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pyBCiXqT925h07e8S0n4huknT2+q6vJVu3e03pF7f6Qn7NTyTbiCjSYgAbaMb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\n02+SwcEoBWazAo0mv+eqAo2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JgeFUO4pcK+D+jb9tNdi4c82mSo2mKrKa4sHGQw8MX7ko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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x18faf048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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YD/WN/4r9iv2hqchUb1o+V5wmxX5JJ1Wh6dOfvYBXvurVRfVFSpQl0agqybjn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\nBcCZwLnAbwJ31DogIj4NfAL4U+BUYDvwSEQcUtHslvJ8FwO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      "text/plain": [
       "<matplotlib.figure.Figure at 0x79a5908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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uB97gQiozuwtY4p8cGhSKzsOb0XpPwtuCItX5wP3+fRYBz+Pohtw/xDsx7ny8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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7973c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "compare(x, y, nxx, kxx)\n",
    "compare(x, y, nxy, kxy)\n",
    "compare(x, y, nxz, kxz)\n",
    "compare(x, y, nyy, kyy)\n",
    "compare(x, y, nyz, kyz)\n",
    "compare(x, y, nzz, kzz)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [default]",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
